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Optical Superposition of the Modulated Images in the Fractional Fourier Transform Domain

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Author(s): M.V.Shovgenyuk | Yu.M.Kozlovskii | L.I.Muravsky | V.M.Fitio

Journal: Ukrainian Journal of Physical Optics
ISSN 1609-1833

Volume: 3;
Issue: 2;
Start page: 106;
Date: 2002;
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Keywords: fractional Fourier transform | fractional correlation | signal distribution method | rectangular slit | image forming | cross shifting

ABSTRACT
The general theory of forming the fractional Fouier transform images of two shifted and the plane wave modulated optical signals is given. Using this theory, we have shown that the parallel process of both cross shifting and modulation of the image by plane wave take place, if the fractional Fouier transform is realized. The principal possibility of the fractional Fouier transform images optical superposition for an arbitrary value of the fractional Fouier transform parameter is determined. The influence of the interference term on forming the FFT conjugate images is shown. Results of numerical calculations of two optical superimposed fractional Fouier transform images of rectangular impulses are presented.
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